A comparative study of the stochastic averaging method and the path integration method for nonlinear ship roll motion in random beam seas
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DOI: 10.1007/s00773-017-0515-1
Abstract: In this paper, the energy-based stochastic averaging method and the path integration method are applied to study the stochastic response of the nonlinear roll motion in random beam seas. Specifically, the Markov diffusion theory is… read more here.
Keywords: stochastic averaging; study; roll motion; method ... See more keywords
Data-driven method for dimension reduction of nonlinear randomly vibrating systems
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DOI: 10.1007/s11071-021-06601-1
Abstract: Data-driven identification of nonlinear differential equations turns out to be an inefficient, and sometimes even impossible, for high-dimensional randomly vibrating systems. The mathematical formulism of stochastic averaging, moreover, is restricted by the difficulty of determining… read more here.
Keywords: dimension reduction; vibrating systems; stochastic averaging; randomly vibrating ... See more keywords